Rigidity of cotangent lifts and integrable systems
In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems with degenerate singularities which are invariant under a torus action
| Authors: | , |
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| Format: | article |
| Publication Date: | 2020 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/331509 |
| Online Access: | https://hdl.handle.net/2117/331509 https://dx.doi.org/10.1016/j.geomphys.2020.103847 |
| Access Level: | Open access |
| Keyword: | Geometry, Differential Differential topology Integrable systems Group actions Rigidity Degenerate singularities Cotangent lifts Geometria diferencial Topologia diferencial Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial |
| Summary: | In this article we generalize a theorem by Palais on the rigidity of compact group actions to cotangent lifts. We use this result to prove rigidity for integrable systems on symplectic manifolds including systems with degenerate singularities which are invariant under a torus action |
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